Rose is an emblem of which country

If x⁴ + x² y² + y⁴ = 37 and x² – xy + y² = 5, then what is the value of xy ?

Find the perimeter of a sector which forms a central angle of 135° in a circle of radius 28 cm.
(Use π = 22/7)

A solid sphere is melted to form 8 smaller spheres of equal radius. Find the radius ratio (small : original).

If (x + 6y) = 8, and xy = 2, where x > 0, what is the value of (x³ + 216y³)?

Find the total surface area of a right circular cylinder with radius 7 cm and height 10 cm.  (Take π = 22/7)

If the area of a rhombus is 18954 m² and the ratio of the diagonals is 27: 39, then find the length of the shorter diagonal.

If the income tax is increased by 14% then net income is reduce by 6%. Find the rate of income tax?

Find the length of the side of a regular octagon which is formed by cutting the corner of square of side 30 cm?

Angle bisectors of Q and R meet at point S, inside the triangle PQR. If angle QSR = 126˚ , then the measure of angle P is: